Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 21
Página 109
... differential operator of the form D ( r ) = αV2 + ß where a and ẞ are constants and V2 is the Laplacian operator ... equation l ( r , r ' ) = D ( r ) d ( r — r ′ ) reduces to the conventional - Lf ( r ) = g ( r ) ( ordinary or partial ) ...
... differential operator of the form D ( r ) = αV2 + ß where a and ẞ are constants and V2 is the Laplacian operator ... equation l ( r , r ' ) = D ( r ) d ( r — r ′ ) reduces to the conventional - Lf ( r ) = g ( r ) ( ordinary or partial ) ...
Página 141
... differential equation for the circular membrane is the same as for the rectangular one , but the boundary condition is different : the trans- verse displacement y is always zero on a circle of radius p about the origin . To solve the ...
... differential equation for the circular membrane is the same as for the rectangular one , but the boundary condition is different : the trans- verse displacement y is always zero on a circle of radius p about the origin . To solve the ...
Página 156
... Eq . ( 11.51 ) shows that satisfies the same differential equation as F - 1 . Since the differential equation determines F11 to within a multiplicative constant ( if F - 1 is regular at p = 0 ) , one has ( 2 + P d F1 = C1F1 - 1 ...
... Eq . ( 11.51 ) shows that satisfies the same differential equation as F - 1 . Since the differential equation determines F11 to within a multiplicative constant ( if F - 1 is regular at p = 0 ) , one has ( 2 + P d F1 = C1F1 - 1 ...
Contenido
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
Otras 33 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх